A class of Randers metrics of scalar flag curvature-Reference-Cited by-同舟云学术

A class of Randers metrics of scalar flag curvature

Published:2020-11-18 Issue:13 Volume:31 Page:2050114
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Cheng Xinyue¹^ORCID,Yin Li²,Li Tingting³

Affiliation:

1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P. R. China

2. The High School Affiliated to Chongqing University of Arts and Sciences, 361 East Section of Changzhou Avenue, Yongchuan District, Chongqing 402160, P. R. China

3. Chongqing Light Industry School, 116 Tongxing North Road, Beibei District, Chongqing 400709, P. R. China

Abstract

One of the most important problems in Finsler geometry is to classify Finsler metrics of scalar flag curvature. In this paper, we study the classification problem of Randers metrics of scalar flag curvature. Under the condition that [Formula: see text] is a Killing 1-form, we obtain some important necessary conditions for Randers metrics to be of scalar flag curvature.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X20501141

Reference18 articles.

1. Finsler Metrics of Constant Positive Curvature on the Lie Group S 3

2. Untersuchung der Kr�mmung allgemeiner metrischer R�ume auf Grund des in ihnen herrschenden Parallelismus

3. Über dien-dimensionalen Geometrien konstanter Krümmung, in denen die Geraden die kürzesten sind

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Three dimensional Lie groups of scalar Randers type;Annali di Matematica Pura ed Applicata (1923 -);2023-12-01